Finding the Third Proportional to 105,024 and 230,464

Step by Step Solution

1. Step 1: Write the proportion equation
   105,024 : 230,464 = 230,464 : x
2. Step 2: Convert to fraction form
   105,024/230,464 = 230,464/x
3. Step 3: Cross multiply
   105,024x = 230,464 × 230,464
4. Step 4: Simplify right side
   105,024x = 53,113,655,296
5. Step 5: Solve for x
   x = 53,113,655,296/105,024
6. Step 6: Final answer
   x = 505,728.74